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Finding the Fourth Proportional to 9,078, 13,617.01 and 2,838.04

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Solution

The fourth proportional to 9,078, 13,617.01 and 2,838.04 is: 4,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078 : 13,617.01 = 2,838.04 : x
  2. Step 2: Convert to fraction form
    9,078/13,617.01 = 2,838.04/x
  3. Step 3: Cross multiply
    9,078x = 13,617.01 × 2,838.04
  4. Step 4: Simplify right side
    9,078x = 38,645,619.06
  5. Step 5: Solve for x
    x = 38,645,619.06/9,078
  6. Step 6: Final answer
    x = 4,257.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.